US: Difference between revisions
Cmloegcmluin (talk | contribs) No edit summary |
Cmloegcmluin (talk | contribs) No edit summary |
||
| Line 3: | Line 3: | ||
The full specification of a US is (n-)USp: (n pitches of a) utonal sequence adding by p. | The full specification of a US is (n-)USp: (n pitches of a) utonal sequence adding by p. | ||
The n is optional. If not provided, the sequence is open-ended. | The n is optional. If not provided, the sequence is open-ended. By specifying n, your sequence will be equivalent to some [[UD|UD (utonal division)]]. E.g. 8-US3/4 = 8-UD7, because 8(3/4) = 6, so you will have traveled 6 away from the root of 1, and reached 7. | ||
A US is a specific (rational) type of [[ALS|ALS, or arithmetic length sequence]]. By varying the undertone series step size to some rational number (other than 1) you can produce a US, and varying it to an irrational number you can produce an ALS. In other words, by shifting the undertone series by a constant amount of string length, the step sizes remain equal in terms of length, but their relationship in pitch changes. | A US is a specific (rational) type of [[ALS|ALS, or arithmetic length sequence]]. By varying the undertone series step size to some rational number (other than 1) you can produce a US, and varying it to an irrational number you can produce an ALS. In other words, by shifting the undertone series by a constant amount of string length, the step sizes remain equal in terms of length, but their relationship in pitch changes. | ||